Electronic Journal of Differential Equations, Vol. 2006(2006), No. 42, pp. 1-11. Title: Multiple positive solutions for a class of nonresonant singular boundary-value problems Authors: Yansheng Liu (Shandong Normal Univ., Jinan, China) Baoqiang Yan (Shandong Normal Univ., Jinan, China) Abstract: Using a specially constructed cone and the fixed point index theory, this paper shows the existence of multiple positive solutions for a class of nonresonant singular boundary-value problem of second-order differential equations. The nonexistence of positive solution is also studied. Submitted February 15, 2006. Published March 26, 2006. Math Subject Classifications: 34B15. Key Words: Nonresonance; singular boundary-value problem; cone; positive solution